A378112 - cp's OEIS frontend

A378112 Number A(n,k) of k-tuples (p_1, p_2, ..., p_k) of Dyck paths of semilength n, such that each p_i is never below p_{i-1} and the upper path p_k only touches the x-axis at its endpoints; square array A(n,k), n>=0, k>=0, read by antidiagonals.

n	a(n)
0	1
1	1
2	1
3	1
4	1
5	0
6	1
7	1
8	1
9	0
10	1
11	1
12	2
13	2
14	0
15	1
16	1
17	3
18	9
19	5
20	0
21	1
22	1
23	4
24	23
25	55
26	14
27	0
28	1
29	1
30	5
31	46
32	265
33	400
34	42
35	0
36	1
37	1
38	6
39	80
40	880
41	3942
42	3266
43	132
44	0
45	1
46	1
47	7
48	127
49	2347
50	23695
51	70395
52	28999
53	429
54	0
55	1
56	1
57	8
58	189
59	5403
60	105554
61	824229
62	1445700
63	274537
64	1430
65	0

[1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 3, 9, 5, 0, 1, 1, 4, 23, 55, 14, 0, 1, 1, 5, 46, 265, 400, 42, 0, 1, 1, 6, 80, 880, 3942, 3266, 132, 0, 1, 1, 7, 127, 2347, 23695, 70395, 28999, 429, 0, 1, 1, 8, 189, 5403, 105554, 824229, 1445700, 274537, 1430, 0]

cp's OEIS Frontend

A378112 Number A(n,k) of k-tuples (p_1, p_2, ..., p_k) of Dyck paths of semilength n, such that each p_i is never below p_{i-1} and the upper path p_k only touches the x-axis at its endpoints; square array A(n,k), n>=0, k>=0, read by antidiagonals.

Table of values

List of values